Map of
Scholastic Aptitude Test (SAT) Mathematics Content
to Fisher Burns Web Site

Check out the materials I prepared for an 8-week SAT Math Prep Course.

Most of the mathematics concepts on the SAT (Scholastic Aptitude Test)
are covered thoroughly in my Algebra I, Geometry, and Algebra II online materials.

This page lists the SAT mathematics content, and then provides links to my web exercises covering the material.
Of course, concepts are often covered in many different exercises; I have tried to provide the most relevant links.

Here is the Collegeboard website used to determine the SAT mathematics content: SAT Mathematics Review

Most students take the SAT in the spring term of their junior year and again in the fall term of their senior year of high school.

SAT CONTENT

LINKS TO
FISHER BURNS SITE

NUMBER and OPERATION

arithmetic word problems
(including percent, ratio, and proportion)

changing decimals to percents	(Algebra I)
changing percents to decimals	(Algebra I)
writing expressions involving percent increase and decrease	(Algebra I)
calculating percent increase and decrease	(Algebra I)
problems involving percent increase and decrease	(Algebra I)
more problems involving percent increase and decrease	(Algebra I)
similarity, ratios, and proportions	(Geometry)

properties of integers (even, odd, prime numbers, divisibility, etc.)

divisibility	(even, odd; Algebra I)
deciding if a number is a whole number, an integer, etc.	(Algebra I)
adding fractions	(prime numbers; Algebra I)

rational numbers

exact versus approximate

(rational numbers; Algebra I)

logical reasoning

practice with the mathematical words and, or, and is equivalent to	(Algebra I)
"if ... then ..." sentences	(Geometry)
contrapositive and converse	(Geometry)
proof techniques	(Geometry)
parallelograms and negating sentences	(Geometry)

sets (union, intersection, elements)

introduction to sets	(Algebra I)
advanced set concepts	(Algebra II)

counting techniques

choosing things: does order matter?	(Algebra II)
factorial notation	(Algebra II)
combinations and permutations	(Algebra II)

sequences and series (including exponential growth)

introduction to recursion and sequences	(Algebra II)
arithmetic and geometric sequences	(Algebra II)

elementary number theory

ALGEBRA and FUNCTIONS

substitution and simplifying algebraic expressions

practice with order of operations

(Algebra I)

properties of exponents

practice with exponents	(Algebra I)
basic exponent practice with fractions	(Algebra I)
one-step exponent law practice	(Algebra I)
multi-step exponent law practice	(Algebra I)

algebraic word problems

going from a sequence of operations to an expression	(Algebra I)
going from an expression to a sequence of operations	(Algebra I)
translating simple mathematical phrases	(Algebra I)
word problems involving perfect squares	(Algebra I)
simple word problems resulting in linear equations	(Algebra I)

solutions of linear equations and inequalities

practice with the Addition Property of Equality	(Algebra I)
practice with the Multiplication Property of Equality	(Algebra I)
solving simple linear equations with integer coefficients	(Algebra I)
solving more complicated linear equations with integer coefficients	(Algebra I)
solving linear equations involving fractions	(Algebra I)
solving linear equations, all mixed up	(Algebra I)
solving simple linear inequalities with integer coefficients	(Algebra I)
solving linear inequalities with integer coefficients	(Algebra I)
solving linear inequalities involving fractions	(Algebra I)

systems of equations and inequalities

introduction to systems of equations	(Algebra II)
solving systems using substitution	(Algebra II)
solving systems using elimination	(Algebra II)

quadratic equations

basic concepts involved in factoring trinomials	(Algebra I)
factoring x² + bx + c, c > 0	(Algebra I)
factoring x² + bx + c, c < 0	(Algebra I)
factoring trinomials, all mixed up	(Algebra I)
identifying quadratic equations	(Algebra I)
writing quadratic equations in standard form	(Algebra I)
solving simple quadratic equations by factoring	(Algebra I)
the quadratic formula	(Algebra II)

rational and radical equations

practice with radicals	(Algebra I)
approximating radicals	(Algebra I)

equations of lines

graphing lines	(Algebra I)
finding equations of lines	(Algebra I)
point-slope form	(Algebra I)
horizontal and vertical lines	(Algebra I)

absolute value

simplifying basic absolute value expressions	(Algebra I)
determining the sign (plus or minus) of absolute value expressions	(Algebra I)
solving simple absolute value sentences	(Algebra I)
solving sentences like 2x - 1 = ±5	(Algebra I)
solving absolute value equations	(Algebra I)
solving absolute value inequalities involving "less than"	(Algebra I)
solving absolute value inequalities involving "greater than"	(Algebra I)
solving absolute value sentences (all kinds)	(Algebra I)
algebraic definition of absolute value	(Algebra II)

direct and inverse variation

Getting bigger? Getting smaller?

(Algebra I)

concepts of algebraic functions

introduction to functions	(Algebra I)
introduction to function notation	(Algebra I)
more practice with function notation	(Algebra I)
domain and range of a function	(Algebra I)
graphs of functions	(Algebra II)
basic models you must know	(Algebra II)
graphical interpretation of sentences like f(x) = 0 and f(x) > 0	(Algebra II)
composition of functions	(Algebra II)

newly defined symbols based on commonly used operations

GEOMETRY and MEASUREMENT

area and perimeter of a polygon

introduction to polygons	(Geometry)
introduction to area and perimeter	(Geometry)
area formulas: triangle, parallelogram, trapezoid	(Geometry)
perimeters and areas of similar polygons	(Geometry)

area and circumference of a circle

Area of a Circular Sector	(Precalculus)
Length of a Circular Arc (and related concepts)	(Precalculus)

volume of a box, cube, and cylinder

Pythagorean theorem and special properties of isoceles, equilateral, and right triangles

the Pythagorean theorem	(Geometry)
two special triangles	(Geometry)
relationships between angles and sides in triangles	(Geometry)

properties of parallel and perpendicular lines

parallel and perpendicular lines	(Algebra I)
parallel lines	(Geometry)

coordinate geometry

locating points in quadrants and on axes	(Algebra I)
practice with points	(Algebra I)
the distance formula	(Algebra I)
the midpoint formula	(Algebra I)

geometric visualization

slope

introduction to the slope of a line	(Algebra I)
practice with slope	(Algebra I)

similarity

similarity, ratios, and proportions	(Geometry)
triangle congruence	(Geometry)

transformations

vertical and horizontal translations (moving up, down, left, and right)	(Algebra II)
vertical and horizontal scaling (stretching and shrinking)	(Algebra II)
reflecting about the x and y axes; the absolute value transformation	(Algebra II)
graphical transformations: all mixed up	(Algebra II)

DATA ANALYSIS, STATISTICS, and PROBABILITY

data interpretation

statistics (mean, median, and mode)

summation notation	(Algebra II)
mean, median, and mode	(Algebra II)

probability

advanced set concepts	(Algebra II)
basic probability concepts	(Algebra II)
more probability concepts	(Algebra II)
probability tree diagrams	(Algebra II)

Please read my
TERMS OF USE

Map of Scholastic Aptitude Test (SAT) Mathematics Content to Fisher Burns Web Site

Map of
Scholastic Aptitude Test (SAT) Mathematics Content
to Fisher Burns Web Site